Midpoint Calculator
Point 1
Point 2
The midpoint of two points is the point exactly halfway between them. In 2D: midpoint = ((x₁+x₂)/2, (y₁+y₂)/2). In 3D: add the z-coordinates and divide by 2. Midpoints are used in geometry, GPS coordinate averaging, and computer graphics.
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Tip: The midpoint of a diameter is the center of the circle. If you know two endpoints of a diameter, the midpoint formula instantly gives you the circle's center.
- 1Midpoint x: (x₁ + x₂) / 2
- 2Midpoint y: (y₁ + y₂) / 2
- 3Distance formula: √((x₂-x₁)² + (y₂-y₁)²)
- 4Midpoint lies on the line segment between the two points
Points (2, 4) and (8, 10)=Midpoint = (5, 7)(2+8)/2=5, (4+10)/2=7
3D points (1,2,3) and (5,6,7)=Midpoint = (3, 4, 5)Average each coordinate
| Application | Example |
|---|---|
| Meeting point | Drive to midpoint between two cities |
| GPS averaging | Average multiple location readings |
| Triangle centroid | Average of all three vertices |
| Bisecting a line | Find midpoint, draw perpendicular |
| Computer graphics | Midpoint subdivision algorithms |
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Fun Fact
The midpoint of the Earth (geographic center) is approximately 39°N, 34°E — in Turkey. But the midpoint of the world's population (population centroid) is in China/India due to Asia's density.
References
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